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Complex dynamics of the population with a simple age structure

Author

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  • Frisman, E.Y.
  • Neverova, G.P.
  • Revutskaya, O.L.

Abstract

The effects of the following modes of density-dependent control of population growth: density-dependent birth rate, adult survival rate, juvenile survival rate are compared based on the mathematical model of population dynamics. It is shown that the most efficient mechanisms limiting population size are decreasing with the growth of the adult population birth rate and/or the decreasing survival rate of the offspring with the increase in their number. However, these same mechanisms are responsible for oscillations of the population size and its chaotic change. The density-dependence of the adult survival rate is not efficient in constraining the population growth, but it can substantially limit the magnitude of oscillations of the population size.

Suggested Citation

  • Frisman, E.Y. & Neverova, G.P. & Revutskaya, O.L., 2011. "Complex dynamics of the population with a simple age structure," Ecological Modelling, Elsevier, vol. 222(12), pages 1943-1950.
    • Handle: RePEc:eee:ecomod:v:222:y:2011:i:12:p:1943-1950
    DOI: 10.1016/j.ecolmodel.2011.03.043
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    References listed on IDEAS

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    1. Christian N. K. Anderson & Chih-hao Hsieh & Stuart A. Sandin & Roger Hewitt & Anne Hollowed & John Beddington & Robert M. May & George Sugihara, 2008. "Why fishing magnifies fluctuations in fish abundance," Nature, Nature, vol. 452(7189), pages 835-839, April.
    2. Logofet, Dmitrii O., 2008. "Convexity in projection matrices: Projection to a calibration problem," Ecological Modelling, Elsevier, vol. 216(2), pages 217-228.
    3. Chih-hao Hsieh & Christian S. Reiss & John R. Hunter & John R. Beddington & Robert M. May & George Sugihara, 2006. "Fishing elevates variability in the abundance of exploited species," Nature, Nature, vol. 443(7113), pages 859-862, October.
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    Cited by:

    1. Efim Frisman & Matvey Kulakov, 2023. "Transition from Bi- to Quadro-Stability in Models of Population Dynamics and Evolution," Mathematics, MDPI, vol. 11(19), pages 1-28, September.
    2. Matvey Kulakov & Efim Frisman, 2023. "Clustering Synchronization in a Model of the 2D Spatio-Temporal Dynamics of an Age-Structured Population with Long-Range Interactions," Mathematics, MDPI, vol. 11(9), pages 1-21, April.
    3. Neverova, G.P. & Yarovenko, I.P. & Frisman, E.Ya., 2016. "Dynamics of populations with delayed density dependent birth rate regulation," Ecological Modelling, Elsevier, vol. 340(C), pages 64-73.

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